7/31/2019 Exos - Equation - 2
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Correction
Exercice 1
1) 2 +x= 5 => x= 52 => x=3
2) -5 + a = 8 => a = 8 + 5 => a = 13
3) 12 - t = 3 => -t = 3 -12 => -t = -9 => t = 9
4) -5 - y = -11 => -y = -11 + 5 => -y = -6 => y = 6
5) -3 = 2 + t => -3 -2 = t => -5 = t => t = -5
6) -4 = -3 z => -4 + 3 = -z => -1 = -z => z = 1
7) 3,1 -x= 0,95 => x= 0,953,1 => x= - 2,15
8) 0,1 + a = 0,01 => a = 0,010,1 => a = - 0,09
9) 1/3+ e = 1/2 => e = 1/2 - 1/3 => e = 3/6
2/6 => e = 1/6
10) 2 = 4/5x => 24/5 = - x => 10/54/5 = - x => 6/5 = -
x x= -6/5
11) 0,3 = y + 2/5 => 0,3 2/5 = y => 1,5/5 2/5 = y => y
= -0,5/5
12) -a = 5 => a = -5
Exercice 2
1) 2 xx= 12 => x= 12/2 => x= 6
2) 4x= 48 => x= 48/4 => x= 12
3) 1 = 5a => 1/5 = a
4) -24 = 2x => -242 =x => x= -26
5) -36 = -3x => -36/-3 =x => -12 =x
6) 7 = 3p => 7/3 = p
7) 0,1g = -2 => g = -2/0,1 => g = -20
8) 17e = 0 => e = 0/17 => e = 0
9) 5x= 20 => x= 20/5 => x= 4
10) -3x= 4 => x= - 4/3
11) 8x= 4 => x= 4/8 => x= 1/2
7/31/2019 Exos - Equation - 2
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Exercice 3
1) 2x - 3 = 3x1
2x3x = -1 +3 => -1x= 2 => x = -2
2) 3x - 4 = 4x + 5
3x
4x = 5 + 4 => -x = 9 => x = -9
3) 17x + 256 = 16x8
17x16x = -8256 => x = -264
4) -3x - 4 = -2x + 8
-3x + 2x = 8 + 4 => -x = 12 => x = -12
5) 2a + 8 = 4a
2a
4a = -8 => -2a = -8 => a = -8/-2 => a = -4
6) -2a - 3 = a + 12
-2aa = 12 + 3 => -3a = 15 => -a = 15/3 => a = -5
7) -5x + 3 = 2x6
-5x2x = -6 - 3 => -7x = -9 => -x = -9/7 => x = 9/7
8) 2t + 8 = 5t 2
2t5t = -2 - 8 => -3t = -10 => -t = -10/3 => t =
10/3
9) 2t + 3 + 3t - 4 + 7t + t = 5 - 2t + 8 - 3t 1
13t + 2t + 3t = 5 + 8 13 + 4 => 18t = 19 => t = 19/18
